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Finding the Fourth Proportional to 34,652.07, 51,978.00 and 8,356.82

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Solution

The fourth proportional to 34,652.07, 51,978.00 and 8,356.82 is: 12,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.07 : 51,978.00 = 8,356.82 : x
  2. Step 2: Convert to fraction form
    34,652.07/51,978.00 = 8,356.82/x
  3. Step 3: Cross multiply
    34,652.07x = 51,978.00 × 8,356.82
  4. Step 4: Simplify right side
    34,652.07x = 434,370,488.29
  5. Step 5: Solve for x
    x = 434,370,488.29/34,652.07
  6. Step 6: Final answer
    x = 12,535.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.